Abstract
The Born-Green-Yvon (BGY) equations for two-body distribution functions of fermion-Jastrow many-body trial functions are derived using a diagrammatic method. Also derived are the Jackson-Feenberg and Pandharipande-Bethe expressions for the kinetic energy of this function in terms of partial two- and three-body distribution functions. Simple approximations for these three-body functions are then used in the BGY equations and the kinetic energies and are solved for the ground state of liquid He3.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1633-1654 |
| Number of pages | 22 |
| Journal | Physical Review B |
| Volume | 25 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jan 1 1982 |
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Kinetic energy and the Born-Green-Yvon method for fermion quantum fluids. / Campbell, Charles E; Kürten, K. E.; Krotscheck, E.
In: Physical Review B, Vol. 25, No. 3, 01.01.1982, p. 1633-1654.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Kinetic energy and the Born-Green-Yvon method for fermion quantum fluids
AU - Campbell, Charles E
AU - Kürten, K. E.
AU - Krotscheck, E.
PY - 1982/1/1
Y1 - 1982/1/1
N2 - The Born-Green-Yvon (BGY) equations for two-body distribution functions of fermion-Jastrow many-body trial functions are derived using a diagrammatic method. Also derived are the Jackson-Feenberg and Pandharipande-Bethe expressions for the kinetic energy of this function in terms of partial two- and three-body distribution functions. Simple approximations for these three-body functions are then used in the BGY equations and the kinetic energies and are solved for the ground state of liquid He3.
AB - The Born-Green-Yvon (BGY) equations for two-body distribution functions of fermion-Jastrow many-body trial functions are derived using a diagrammatic method. Also derived are the Jackson-Feenberg and Pandharipande-Bethe expressions for the kinetic energy of this function in terms of partial two- and three-body distribution functions. Simple approximations for these three-body functions are then used in the BGY equations and the kinetic energies and are solved for the ground state of liquid He3.
UR - http://www.scopus.com/inward/record.url?scp=4243415406&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4243415406&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.25.1633
DO - 10.1103/PhysRevB.25.1633
M3 - Article
AN - SCOPUS:4243415406
VL - 25
SP - 1633
EP - 1654
JO - Physical Review B
JF - Physical Review B
SN - 0163-1829
IS - 3
ER -